Publications

Related to the research lines (for further information please see the personal webpages):

2017

- A. Araújo, S. Barbeiro, E, Cuesta, A. Durán, Cross-Diffusion Systems for Image Processing: I. The Linear Case, Journal of Mathematical Imaging and Vision, 58(3), 447-467 (2017).
- A. Araújo, S. Barbeiro, E. Cuesta, A. Durán, Cross-Diffusion Systems for Image Processing: II. The Nonlinear Case, Journal of Mathematical Imaging and Vision, 58(3), 427-446 (2017).
- J. Alvarez, A. Durán, Numerical generation of periodic traveling wave solutions of some nonlinear dispersive wave systems, J. Comput. Appl. Math., 316, 29-39 (2017).
- B. Ahmad, A. Alsaedi, E. Cuesta, M. Kirane, On blowing-up solutions for multi–time nonlinear hyperbolic equations and systems, Filomat 31:9, 2599–2609 (2017), doi:10.2298/FIL1709599A.
- A. Fernández-Manso, E. Cuesta, C. Quintano, Advanced remote sensing methods to map surface coal mining affected area, Int. J. Digital Earth (submitted)
- E. Cuesta, R. Ponce, Well-posedness, regularity, and asymptotic behavior of the continuous and discrete solutions of linear fractional integro–differential equations with order varying in time, J. Comput. Appl. Math. (accepted)
- A. Araújo, S. Barbeiro, E. Cuesta, A. Durán, Modelos de difusión cruzada para el filtrado de imágenes, La Gaceta de la RSME (submitted) 2017

2016

- E. Cuesta, A. Fernández-Manso, C. Quintano, Generalized fractional integrals in advanced remote sensing, in Proceedings of 12th IEEE/ASME International Conference on Mechatronic and Embedded systems and Application
- J. Alvarez; A. Duran. Petviashvili type methods for traveling wave computations: II. Acceleration with vector extrapolation methods. Mathematics and Computers in Simulation. 123, pp.19-36.
- D. Dutykh, D. Clamond, A. Duran, Efficient computation of capillary–gravity generalised solitary waves, Wave Motion, 65, pp. 1-16.
- V. Dougalis, A. Duran, D. Mitsotakis, Numerical approximation of solitary waves of the Benjamin equation, Math. Comput. Simul., 127, pp 56-79.

2015

- A. Araújo, S. Barbeiro, P. Serranho, Convergence of finite difference schemes for nonlinear complex reaction-diffusion processes, in SIAM J. Numer. Anal. 53(1) (2015) 228 - 250.
- D. C. Antonopoulos, V. A. Dougalis, Error estimates for the standard Galerkin-finite element method for the shallow water equations, in Math. Comput. (2015) in Press.
- V. A. Dougalis, A. Durán, D. Mitsotakis, Numerical solution of the Benjamin equation, in Wave Motion. 52 (2015) 194 – 215.
- E. Cuesta, A. Duran, M. Kirane, On evolutionary integral models for image restoration, in Developments in Medical Image Processing and Computational Vision, Lecture Notes in Computational Visionand Biomechanics, J. M. R. S. Tavares, R. N. Jorge (Eds.) Springer Cham Heidelberg NewYork Dordrecht London 19 (2015) 241 - 260.
- E. Cuesta, C. Quintano, Linear fractional-based filter as a pre-classifier to map burned areas in Mediterranean countries, in Int. J. of Remote Sens. 36(13) (2015) 3293 - 3316.
- J. Alvarez; A. Duran. 2015. Corrigendum to ‘‘Petviashvili type methods for traveling wave computations: I. Analysis of convergence’’. J. Computational and Applied Mathematics. 277, pp.215-216.
- Didier Clamond; Denys Dutykh; Angel Duran. 2015. A plethora of generalised solitary gravity-capillary water waves. Journal of Fluid Mechanics. 784, pp.664-680.

2014

- A. Araújo, S. Barbeiro, P. Serranho, Stability of finite difference schemes for nonlinear complex reaction-diffusion processes, in IMA J. Numer. Anal. (2014).
- A. Araújo, C. Neves, E. Sousa, An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection, in Appl. Math. Comput. 239 (2014) 17 - 28.
- E. Cuesta, A. Durán, From fractional models to Volterra equations and its applications to image processing, in Proceedings in ICFDA'14 (2014) 1 - 2.
- J. Álvarez, A. Durán, An extended Petviashvili method for the numerical generation of traveling and localized waves, in Commun. Nonlinear Sci. Number. Simulat. 19 (2014) 2272 - 2283.
- J. Álvarez, A. Durán, Petviashvili type methods for traveling wave computations: I. Analysis of convergence, in J. Comput. Appl. Math. 266 (2014) 39 - 51.
- R. Hiptmair, M. López-Fernández, A. Paganini, Fast convolution quadrature based impedance boundary conditions, in . of Compute. and Appl. Math. 263 (2014) 500-517.
- A. Paganini, M. López-Fernández, Efficient convolution based impedance boundary conditions, in COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 33(4) (2014) 1175 - 1188.
- D. Dutykh, B. Ilan, D. Mitsotakis, On the Galerkin finite element method for the Serre equations, in J. Sci. Comp. 61 (2014) 166 - 195.
- G. Ramos-Llordén, G. Vegas-Sánchez-Ferrero, S. Aja-Fernández, M. Martín-Fernández, C. Alberola-López, Fast anisotropic speckle filter for ultrasound medical images. XIII Mediterranean Conference on Medical and Biological Engineering and Computing 2013. IFMBE Proceedings 41 (2014) 253 - 256.
- G. Vegas-Sánchez-Ferrero, M. Martín-Fernández, J. Miguel Sanches, A Gamma mixture model for IVUS imaging, in Multi-Modality Atherosclerosis Imaging and Diagnosis. L. Saba, J. M. Sanches, L. Mendes Pedro, J. S. Suri (Eds.) ISBN: 978-1-4614-7424-1 (Print) 978-1-4614-7425-8 (Online), (2014) 155 - 171.

2013

- A. Araújo, A splitting algorithm for medical image denoising, T. Ören, J. Kacprzyk, L. Þ. Leifsson, M. S. Obaidat, S. Koziel (Eds.): SIMULTECH 2013 - Proceedings of the 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications, SciTePress 2013, Reykjavík, Iceland, 29-31 July (2013) 704 - 709.
- P. Rodrigues, P. Guimarães, A. Araújo, S. Barbeiro, R. Bernardes, P. Serranho, Explicit and semi-implicit complex-diffusion schemes for optical coherence tomography despeckling, in Image Analysis and Recognition, in Lect. Notes Compute. Sc. M. Kamel, A. Campilho (Eds.) Springer Berlin Heidelberg 7950 (2013) 282-289.
- E. Cuesta, A. Durán, Fully discrete, nonlocal models for image processing: Properties and applications, in Computational Vision and Medical Image Processing IV - Proceedings VIPIMAGE (2013) 55 - 58.
- V. Dougalis, G. E. Zouraris, D. C. Antonopoulou, A finite difference method for the wide-angle parabolic equation in a waveguide with downsloping bottom, in Num. Meth. PDEs. 29 (2013) 1416 - 1440.
- A. Durán, D. Dutykh, D. Mitsotakis, On the Galilean invariance of some dispersive wave equations, in Studies in Applied Mathematics. 131(4) (2013) 359 - 388.
- M. López-Fernández, S. Sauter, Generalized convolution quadrature with variable time stepping, in IMA J. Numer. Anal. 33(4) (2013) 1156 - 1175.
- D. Clamond, D. Dutykh, P. Milewski, D. Mitsotakis, Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations, in European J. Appl. Math. 24 (2013) 761-787.
- F. Dias, D. Dutykh, X. Gardeil, D. Mitsotakis, On the use of finite fault solution for tsunami generation problems, in Theor. Comp. Fluid Dyn. 27 (2013) 177 - 199.
- D. Dutykh, T. Katsaounis, D. Mitsotakis, Finite volume methods for unidirectional dispersive wave models, in Int. J. Numer. Meth. Fluids, 71 (2013), 717 - 736.
- Z. Akkus, J. G. Bosch, G. Vegas-Sánchez-Ferrero, D. B. Carvalho, G. Renaud, S. C. H. van den Oord, G. L. ten Kate, A. F. L. Schinkel, N. de Jong, A. F. W. van der Steen, Statistical segmentation of carotid plaque neovascularization, in Proc. SPIE 8675, Medical Imaging 2013: Ultrasonic Imaging, Tomography, and Therapy, (2013) 867506.
- A. Haak, G. Vegas-Sánchez-Ferrero, H. H. Mulder, H. A. Kirisli, N. Baka, C. Metz, S. Klein, B. Ren, G. van Burken, A. F. W. van der Steen, J. P. W. Pluim, T. van Walsum, J. G. Bosch, Segmentation of 3D transesophageal echocardiograms by multi-cavity active shape model and gamma mixture model, in AE-CAI, Springer vol. 8090 of LNCS (2013) 19 - 26.

2012

- A. Araújo, S. Barbeiro, P. Serranho, Stability of finite difference schemes for complex diffusion processes, in SIAM J. Numer. Anal. 50(3) (2012), 1284 - 1296. DOI: 10.1137/110825789
- E. Cuesta, M. Kirane, S. A. Malik, Image structure preserving denoising using generalized fractional time integrals, in Signal Process. 92(02) (2012) 553 - 563.
- V. A. Dougalis, D. C. Antonopoulos, Numerical solution of the classical Boussinesq system, in Math. Comput. Simulate. 82 (2012) 984 - 1007.
- J. Álvarez, A. Durán, On the influence of numerical preservation of invariants when simulating Hamiltonian relative periodic orbits in J. Comput. Phys. 236 (2012) 2954 - 2961.
- J. Álvarez, A. Durán, On the preservation of invariants in the simulation of solitary waves in some nonlinear dispersive equations, in Commun. Nonlinear Sci. Numer. Simul. 17 (2012) 637 - 649.
- V. A. Dougalis, A. Durán, D. Mitsotakis, Numerical approximation of solitary waves of the Benjamin equation. in Math. Comp. Simul. (2012) (in press).
- A. Castro, D. Córdoba, C. Fefferman, F. Gancedo, M. López-Fernández, Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves, in Ann. Math. 175(2) (2012) 909 - 948.
- J. M. Arrieta, M. López-Fernández, E. Zuazua, Approximating travelling waves by equilibria of non local equations, in Asymptotic Anal. 78(3) (2012) 145 - 186.
- D. Mitsotakis,Yu. Shaken, L. Chubarov, D. Dutykh, Horizontal displacements contribution to tsunami wave energy balance, in Ocean Model. 56 (2012) 43 - 56.
- G. Vegas-Sánchez-Ferrero, M. Matín-Fernández, C. Palencia, On the influence of interpolation on probabilistic models for ultrasonic images, in IEEE Internationa Symposium on Biomedical Imaging: From Nano to Macro (ISBI), Rotterdam, The Neetherlands, (April 2012) 292 - 295.
- G. Vegas-Sánchez-Ferrero, S. Aja-Fernández, M. Martín-Fernández, C. Palencia, A direct calculation of moments of the sample variance, in Math. Computo. Simulat. 82(5) (2012) 790 - 804
- G. Vegas-Sánchez-Ferrero, S. Aja-Fernández, C. Palencia, M. Martín-Fernández, Generalized Gamma mixture models for ultrasonic tissue characterization, in Comput. Math. Method. M. (2012) 481923.
- L. Cordero-Grande, G. Vegas-Sanchez-Ferrero, P. Casaseca-de-la-Higuera, C. Alberola-López, A Markov random field approach for topology-preserving registration: Application to object-based tomographic image interpolation, in IEEE Transactions on Image Processing (2012) 2047 - 2061.

2011

- E. Cuesta. On the improvement of Volterra equation based filtering for image denoting, in Proceedings of the 2011. International Conference on Image Processing, Computer Vision, and Pattern Recognition 1 (2011) 733 – 738.
- E. Cuesta, Some advances on image processing by means of fractional calculus, in Nonlin. Sc. Com. (2011) 265 - 272.
- J. Alvarez, A. Durán, A numerical scheme for periodic travelling-wave simulations in some nonlinear dispersive wave models, in J. Comput. Appl. Math. 235 (2011) 1790 - 1797.
- A. Castro, D. Córdoba, C. Fefferman, F. Gancedo, M. López-Fernández, Turning waves and breakdown for incompresible flows, Proceedings of the National Academy of Sciences of the USA 108(12) (2011) 4754 - 4759.
- J. M. Arrieta, M. López-Fernández, E. Zuazua, On a nonlocal moving frame approximation of traveling waves, Comptes Rendus Mathématique. Académie des Sciences. Paris 349 (2011), 753-758
- D. Mitsotakis, T. Katsaounis, D. Dutykh, Finite volume schemes for dispersive wave propagation and run-up, in J. Comp. Pays. 230 (2011) 3035 - 3061.
- D. Mitsotakis, C. Labart, D. Dutykh, Long wave runup on random beaches. in Phys. Rev. Lett. 170 (2011) 184504.
- L. Cordero-Grande, G. Vegas-Sanchez-Ferrero, P. Casaseca-de-la-Higuera, J. A. San-Roman-Calvar, A. Revilla-Orodea, M. Martin-Fernandez, C. Alberola-López, Unsupervised 4D myocardium segmentation with a Markov random field based deformable model, in Med. Image Anal. 15(3) (2011) 283 - 301.
- J. I. Arribas, G Vegas-Sánchez-Ferrero, G. Ruiz-Ruiz, J. Gómez-Gil, Leaf classification in sunflower crops by computer vision and neural networks, in COMPUT ELECTRON AGR Compute. Electron. Agr. 78(1) (2011) 9 - 18.

2010

- R. Bernardes, C. Maduro, P. Serranho, A. Araújo, S. Barbeiro, J. Cunha-Vaz, Improved adaptive complex diffusion despeckling filter, in Opt. Express 18(23) (2010) 24048 - 24059.
- A. Araújo, M. F. Patrício, J. L. Santos, Optimal solution of a diffusion equation with a discrete source term. in Int. J. Numer. Meth. Biomed. Engine. 26 (2010) 1176 - 1187.
- I. N. Figueiredo, P. N. Figueiredo, G. Stadler, O. Ghattas, A. Araújo, Variational image segmentation for endoscopic human colonic aberrant crypt foci, in IEEE Transactions on Medical Imaging 29(4) (2010) 998 - 1011.
- E. Cuesta, A variable step size numerical method based on fractional type quadratures for linear integro–differential equations, in Adv. Eng. Soft. 41 (2010) 64 - 69.
- C. Quintana, E. Cuesta, Improving satellite image classification by using fractional type convolution filtering, in Int. J. Appl Earth Obs. and Geoinformation 12(04) (2010) 298 - 301.
- V. Dougalis, D. E. Mitsotakis, D. C. Antonopoulos, Numerical solution of Boussinesq systems of the Bona-Smith family, in Appl. Numer. Math. 60 (2010) 314 - 36.
- V. Dougalis, J. C. Saut, D. E. Mitsotakis, Boussinesq systems of Bona-Smith type on plane domains: Theory and numerical analysis, in J. Sci. Compute. 44 (2010) 109 - 135.
- V. Dougalis, D. E. Mitsotakis, D. C. Antonopoulos, Galerkin approximations of periodic solutions of Boussinesq systems, in Bull. Greek Math. Soc. 57 (2010) 13 - 30.
- J. Álvarez, A. Durán, Error propagation in numerical approximations near relative equilibria, in J. Comput. Appl. Math. 234 (2010) 3373 - 3386.
- J. Álvarez, A. Durán, Error propagation when approximating multi-solitons: The KdV equation as a case study, in Appl. Math. Comput. 217 (2010) 1522 - 1539.
- I. Alonso-Mallo, A. Durán, N. Reguera, Simulation of coherent structures in nonlinear Schrodinger-type equations, in J. Comput. Phys. 229 (2010) 8180 - 8198.
- M. López-Fernández, A quadrature based method for evaluating exponential-type functions for exponential methods, in BIT Numer. Math. 50(3) (2010) 631 - 655.
- D. Mitsotakis, D. Dutykh, On the relevance of the dam break problem in the context of nonlinear shallow water equations, in Discret. Contin. Dyn. S. 13 (2010) 799 - 818.
- V. S. Aja Fernández, M. Martín Fernández, A. F. Frangi, C. Palencia, Probabilistic-driven oriented speckle reducing anisotropic reduction with applications to cardiac ultrasonic images, in Proc. 13th Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI), Beijing, China, Lecture Notes in Computer Science, (September 2010) 518 – 525.
- S. Aja-Fernández, G. Vegas-Sánchez-Ferrero, A. Tristán-Vega, About the background distribution in MR data: a local variance study, in Magn. Reason. Imaging 28(5) (2010) 739-752.

2009

- A. Araújo, J. R. Branco, J. A. Ferreira, On the stability of a class of splitting methods for integro-differential equations, in Appl. Number. Math. 59 (2009) 436 - 453.
- V. Dougalis, D. E. Mitsotakis, D. C. Antonopoulos, Initial-boundary-value problems for the Bona-Smith family of Boussinesq systems, in Adv. Differ. Equ. 14 (2009) 27 - 53.
- V. Dougalis, J. C. Saut, D. Mitsotakis, On initial-boundary value problems for a Boussinesq system of BBM-BBM type in a plane domain, in Discret. Contin. Dyn. S. 23 (2009) 1191 - 1204.
- D. Mitsotakis, Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves, in Mat. Comp. Simul. 80 (2009) 860 - 873.
- S. Aja-Fernández, G. Vegas-Sánchez-Ferrero, M. Martín-Fernández, Carlos Alberola-López, Automatic noise estimation in images using local statistics, in Additive and multiplicative cases, Image and Vision Computing (2009) 756 - 770.

2008

- A. Araújo, D. M. G. Comissiong, G. Stadler, Numerical experiments for segmenting medical images using level sets, in Computational Vision and Medical Image Processing, J. Tavares, N. Jorge (Eds.) (2008) 91 - 96.
- E. Cuesta, Some advances on image processing by means of fractional calculus, in Proceedings in 2nd Conference on Nonlinear Science and Complexity (2008).
- E. Cuesta, Ch. Makridakis, A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces, in Numer. Math. 110(3) (2008) 257 - 275.
- V. Dougalis, G. E. Zouraris, D. C. Antonopoulou. A finite element method for the Parabolic Equation in a range-dependent environment with a rigid bottom, in Proceedings of the 8th International Conference on Theoretical and Computational Acoustics ICTCA 2007. M. Taroudakis and P. Papadakis (Eds.), Heraklion 2008, (2008) 191 - 195.
- V. Dougalis, D.E. Mitsotakis, J. L. Bona, Numerical solution of KdV-KdV systems of Boussinesq equations: II Generation and evolution of radiating solitary waves, in Nonlinearity. 21(8) (2008) 2825 - 2848.
- V. Dougalis, G. E. Zouraris, F. Sturm, N. A. Kampanis, Numerical solution of the Parabolic Equation in range-dependent waveguides, in Ibid. (2008) 175 - 207.
- V. Dougalis, S. Foteinis, C. E. Synolakis, E. Diamantakis, E. Flouri, N. Chrysoulakis, Remote sensing in support of tsunami mitigation planning in the Mediterranean, in Proceedings of the 1st International Conference on Remote Sensing Techniques in Disaster Management and Emergency Response in the Mediterranean Region, M. Oleic, I. Gusic (Eds.) EARSEL, Geosat, Zagreb 2008, (2008) 255 - 266.
- D. Mitsotakis, V. Dougalis, Theory and numerical analysis of Boussinesq systems: A review, in Effective Computational Methods Wave Propagation, N. A. Kampanis, V. A. Dougalis, J. A. Ekaterinaris (Eds.), CRC Press 2008, (2008) 63 - 110.
- A. Durán, Time behaviour of the error when simulating finite-band periodic waves. The case of the KdV equation, in J. Comput. Phys. 227 (2008) 2130 - 2153.
- M. López-Fernández, C. Lubich, A. Schädle, Adaptive, fast, and oblivious convolution in evolution equations with memory, in SIAM SIAM J. Sci. Comput. 30(2) (2008) 1015 - 1037
- G. Vegas-Sánchez-Ferrero, A. Tristán Vega, L. Cordero Grande, P. Casaseca de la Higuera, M. Martín Fernández, C. Alberola López, Strain Rate Tensor Estimation in Cine Cardiac MRI Based on Elastic Image Registration, in Tensors in Image Processing, Computer Vision. SpringerVerlag. ISBN: 978-1-84882-298-6. (2008).
- A. Tristán-Vega, G. Vegas-Sánchez-Ferrero, S. Aja-Fernández, Local Similarity Measures for Demons-like Registration Algorithms, in IEEE International Symposium on Biomedical Imaging (ISBI). Paris (France), May 2008, (2008) 1087 - 1090.

2007

- E. Cuesta, Adaptive quadratures and fractional calculus: Applications in image processing, in Proceedings in Applied Mathematics and Mechanics, 7 (2007) 203 - 204.
- E. Cuesta, Asymptotic behaviour of the solutions of fractional integro–differential equations and some time discretizations. Discrete Contin. Dyn. Syst. (2007) 277 - 285.
- E. Cuesta, M. P. Calvo, C. Palencia, Runge-Kutta convolution quadrature methods for well posed equations with memory, in Numer. Math. 107(4) (2007) 589 - 614.
- V. Dougalis, D. E. Mitsotakis, J. C. López-Marcos, A. Durán, A numerical study of the stability of solitary waves of the Bona-Smith family of Boussinesq systems, in J. Nonlinear Sci.17 (2007) 569 - 607.
- J. L. Bona, V. Dougalis, D. Mitsotakis, Numerical solution of KdV-KdV systems of Boussinesq Equations: I, The numerical scheme and generalized solitary waves, in J. Math. And Compute. in Simul. 74 (2007) 214 - 228.
- V. Dougalis, J. C. Saut, D. E. Mitsotakis, On some Boussinesq systems in two space dimensions: Theory and numerical analysis, in ESAIM: Math. Modelling and Numer. Anal. 41 (2007) 825 - 854.
- S. Lucas, E. González, M. P. Calvo, C. Palencia, E. Alonso, M. J. Cicero, Supercritical CO2 impregnation of Radiata pine with organic fungicides. Effect of operating conditions and two-parameter modeling, in J. of Supercritical Fluids 40 (2007) 462 - 469.
- S. Lucas, M. P. Calvo, J. García-Serna, C. Palencia, M. J. Cicero, Two-parameter model for mass transfer processes between solid matrixes and supercritical fluids: Analytical solution. in J. of Supercritical Fluids 41 (2007) 257-266.
- R. Cárdenes-Almeida, A. Tristán-Vega, G. Vegas-Sánchez-Ferrero, S. Aja-Fernández, V. García-Pérez, E. Muñoz-Moreno, R. de Luis García, J. González-Fernández, D. Sosa-Cabrera, K. Krissian, S. Keiffer, UsimagTool: An opensource freeware software for Ultrasound Imaging and Elastography, in Procs. of the eNTERFACE’07 Workshop on Multimodal Interfaces. Istambul (Turkey), (2007) 117-127.

2006

- A. Araújo, J. A. Ferreira, P. Oliveira, The effect of memory terms in diffusion phenomena, in J. Comput. Math. 24 (2006) 91 - 102.
- E. Cuesta, Adaptive numerical methods for integro–differential equations of fractional order, in Proceedings of The Fifth International Conference on Engineering Computational Technology (2006) 47 - 48.
- M. P. Calvo, E. Cuesta, C. Palencia, Backward Euler method as a positivity preserving method for abstract integral equations of convolution type, in Proceedings in 2nd IFAC Workshop on Fractional Differentiation and its Applications-FDA ’06 (2006) 530 - 534.
- E. Cuesta, Ch. Lubich, C. Palencia, Convolution quadrature time discretization of fractional diffusion-wave equations. Math.Comp., 75 (2006) 673 - 696.
- V. Dougalis, G. E. Zouraris, F. Sturm, Boundary conditions for the wide-angle PE at a sloping bottom in Proceedings of the 8th European Conference on Underwater Acoustics. 1. S. M. Jesus, O. C. Rodriguez (Eds.), CINTAL, 2006, (2006) 51 - 56.
- A. Schädle, M. López-Fernández, C. Lubich, Fast and oblivious convolution quadrature, in SIAM J. Sci. Comput. 28(2) (2006) 421 - 438.
- M. López-Fernández, C. Palencia, A. Schädle, A spectral order method for inverting sectorial Laplace transforms, in SIAM J. Numer. Anal. 44(3) (2006) 1332 - 1350.
- M. P. Calvo, C. Palencia, A class of explicit multistep exponential integrators for semi linear problems, in Numer. Math. 102 (2006) 367 - 381.

2005

- A. Araújo, J. A. Ferreira, P. Oliveira, Qualitative behaviour of numerical travelling solutions for reaction-diffusion equations with memory, in Appl. Anal. 84, (2005) 1231 - 1246.
- M. López-Fernández, C. Lubich, C. Palencia & A. Schädle, Fast Runge-Kutta approximation of inhomogeneous parabolic equations, in Numer. Math. 102(2) (2005) 277-291.

2004

- V. Dougalis, D. Antonopoulou, Finite element discretization of the parabolic equation in an underwater, variable bottom environment, in Proceedings of the 6th International Workshop on Advances in Scattering and Biomedical Engineering, D. I. Fotiadis, C. V. Massalas (Eds.), World Scientific (2004) 173 - 182.
- V. Dougalis, D. E. Mitsotakis, Solitary waves for the Bona-Smith system, in Proceedings of the 6th International Workshop on Advances in Scattering and Biomedical Engineering, D. I. Fotiadis, C. V. Massalas (Eds.), World Scientific (2004) 286 - 294.
- V. Dougalis, E. Papamichos, E. Vairaktaris, I. Vardoulakis, Subsidence Diffusion- Convection: II. Inverse Problem, in Comput Meth. Appl. Mech. Engineer. 193 (27-29) (2004) 2761 - 2770.
- B Cano, A. Durán, A technique to improve the error propagation when integrating relative equilibria, in BIT Numer. Math. 44(2) (2004) 215 - 235.
- M. López-Fernández, C. Palencia, On the numerical inversion of the Laplace transform of certain holomorphic mappings, in Appl. Numer. Math. 51(2-3) (2004) 289-303.

2003

- E. Cuesta J. Finat, Image Processing by means of a linear integro– differential equation. Visualization, in Imaging and Image processing, M. H. Hamza, ACTA Press, Anaheim-Calgary-Zurich, 2003 . 1 (2003) 438 - 442.
- E. Cuesta, C. Palencia, A fractional trapezoidal rule for integro–differential equations of fractional order in Banach spaces, in Appl. Numer. Math. 45(2-3) (2003) 139 - 159.
- E. Cuesta, C. Palencia, A numerical method for an integro–differential equation with memory in Banach spaces: Convergence and qualitative properties, in SIAM, J. Numer. Anal. 41(4) (2003) 1232 - 1241.
- E. Cuesta, C. Palencia, Propiedades cualitativas de una discretización de orden 1 para ecuaciones integro-diferenciales de orden fraccionario, Resúmenes XVII CEDYA / VIII CMA, ISSN 84-930923-2-0 (2003) 163 - 164.
- V. Dougalis, W. R. McKinney, O. A. Karakashian, G. D. Akrivis, Numerical approximation of blow-up of radially symmetric solutions of the nonlinear Schrödinger equation, in SIAM J. of Sc. Comput. 25 (2003) 186 - 212.
- B. Cano, A. Durán, A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems, in Math. Comp., 72 (2003) 1803 - 1816.
- B. Cano, A. Durán, Analysis of variable-stepsize linear multistep methods with special emphasis on symmetric ones, in Math. Comp., 72 (2003) 1769 - 1801.
- A. Durán, M. A. López-Marcos. Conservative numerical methods for solitary wave interactions, in J. Phys. A: Math. and Gen., 36 (2003) 7761 - 7770.
- I. Alonso-Mallo, C. Palencia, Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems, in Appl. Numer. Math.44 (2003) 1 - 19.

2002

- E. Cuesta, C. Palencia, A second order method for an integro–differential equation with bad initial data, in Appl. Numer. Math.: Proceedings of the 19th Biennal Conference on Numerical Analysis. 43 (2002) 32 - 32.
- A. Durán, M. A. López-Marcos, Numerical behaviour of stable and unstable solitary waves, in Appl. Numer. Math., 42 (2002) 95 - 116.
- J. M. Marbán, C. Palencia, A new numerical method for backward parabolic problems in the maximum norm setting, in SIAM J. Numer. Anal. 40 (2002) 1405 - 1420.
- J. M. Marbán, C. Palencia, On the numerical recovery of a holomorphic mapping from a finite set of approximate values, in Numer. Math. 91 (2002) 57 - 75.

2001

- A. Araújo, A. Durán, Error propagation in the numerical integration of solitary waves. The regularized long wave equation, in Appl. Numer. Math. 36 (2001) 197 - 217.
- E. Cuesta, C. Palencia, A one-step second order method for fractional integro–differential equations in Banach spaces, in Proceedings in EQUADIFF 10 (2001) 24 - 24.
- V. Dougalis, B. Melloni, Error estimates for a fully discrete spectral scheme for a class of nonlinear nonlocal dispersive wave equations, in Appl. Numer. Math. 37 (2001) 95 - 107.
- V. Dougalis, G. E. Zouraris, G. D. Akrivis, Finite difference schemes for the parabolic equation in a variable depth environment with a rigid bottom boundary condition, in SIAM J. Numer. Anal. 39 (2001) 539 - 565.
- V. Dougalis, B. Melloni, Numerical modelling of two-way propagation of nonlinear dispersive waves. J. Math. and Computers in Simulation. 55 (2001) 595 - 606.
- M. P. Calvo, C. Palencia, Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems, in Math. Compute. 71 (2001) 1529 - 1548.
- C. González, A. Oysterman, C. Palencia, M. Talhammer, Backward Euler discretizations of fully nonlinear parabolic problems. in Math. Compute. 71 (2001) 127 - 145.
- I. Faragó, C. Palencia, Sharpening the stability constant of the Crank-Nicolson scheme for the one dimensional heat equation, in Appl. Numer. Math. 42 (2001) 133 - 140.

2000

- V. Dougalis, D. C. Antonopoulos, Numerical approximations of Boussinesq systems, in Proceedings of the 5th International Conference on Mathematical and Numerical Aspects of Wave Propagation, A. Bermudez et al. (Eds.), SIAM, Philadelphia 2000, (2000) 265 - 269.
- V. Dougalis, B. Melloni, Numerical solution of some nonlocal, nonlinear, dispersive wave equations. J. Nonlinear Sci. 10 (2000) 1 - 22.
- A. Durán,,J. M. Sanz-Serna, The numerical integration of relative equilibrium solutions. The nonlinear Schrödinger equation, in IMA J. Numer. Anal. 20 (2000) 235 - 261.
- A. Oysterman, C. Palencia, Shadowing for nonautonomous parabolic problems with applications to long-time error bounds, in SIAM J. Numer. Anal. 37 (2000) 1399 – 1419.
- C. González, C. Palencia, Stability of Runge-Kutta methods for quasilinear parabolic problems.Math. Compute. 69 (2000) 609 - 628.

Previous

- A. Araújo, F. Aleixo Oliveira, Semi-discretization method for the heat equation with nonlocal boundary conditions, in Comm. Numer. Meth. in Engineer. 10 (1994), 751-758.
- V. Dougalis, W. R. McKinney, O. S. Karakashian, J. L. Bona, Numerical simulation of singular solutions of the generalized Korteweg-de Vries equation, in Contemp. Math. 200 (1996) 17 - 29.
- V. Dougalis, W. R. McKinney, O. A. Karakashian, J. L. Bona, The effect of dissipation on solutions of the generalized Korteweg-de Vries equation, in J. Comp. & Appl. Math.74 (1996) 127 - 154.
- V. Dougalis, W. R. McKinney, O. A. Karakashian, J. L. Bona, Conservative, high-order numerical schemes for the generalized Korteweg-de Vries equation, in Phil. Trans. Roy. Soc. London, A. 351 (1995) 107 - 164.
- V. Dougalis, G. D. Akrivis, Finite difference discretizations of some initial-and boundary- value problems with interface, in Math. Comp. 56 (1991) 505 - 522.
- V. Dougalis, W. R. McKinney, O. A. Karakashian, J. L. Bona, Fully discrete methods with grid refinement for the generalized Korteweg-de Vries equation, in Viscous Profiles and Numerical Methods for Shock Waves, M. Shearer (Eds.), SIAM (1991) 1 - 11.
- V. Dougalis, G. D. Akrivis, On a class of conservative, highly accurate Galerkin methods for the Schrödinger equation, in RAIRO-MMAN. 25 (1991) 643 - 670.
- V. Dougalis, O. A. Karakashian; G.D. Akrivis. On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation, in Num. Math. 59 (1991) 31 - 53.
- V. Dougalis, G. D. Arrives, On a conservative, high-order accurate finite element scheme for the parabolic equation, in Computational Acoustics, D. Lee, A. Cakmak, R. Vichnevetsky (Eds.), Elsevier-North Holland 1 (1990) 17 - 26. .
- V. Dougalis, L. A. Bales, Cosine methods for nonlinear second-order hyperbolic equations. Math. Comp.52 (1986) 229- 319.
- V. Dougalis, O. A. Karakashian, J. L. Bona, Fully discrete Galerkin methods for the Korteweg-de Vries equation, in Comp. and Maths. with Appl. 12A (1986) 859 - 884.
- V. Dougalis, O. A. Karakashian, On some high order accurate fully discrete Galerkin methods for the Korteweg-de Vries equation, in Math. Comp. 45 (1985) 329-345.
- V. Dougalis, O. A. Karakashian, G. A. Baker, Convergence of Galerkin approximations for the Korteweg-de Vries equation, in Math. Comp. 40 (1983) 419 - 433.
- V. Dougalis, C. Corduneanu, A semidiscretization procedure for the Fitzhugh-Nagumo equations, Nonlinear Phenomena in Mathematical Sciencesed,V. Lakshmikantham (Eds.), Academic Press (1982) 269 - 278.
- V. Dougalis, O. A. Karakashian, G. A Baker, On a higher order accurate fully discrete Galerkin approximation to the Navier-Stokes equations, in Math. Comp. 39 (1982) 339 - 375.
- J. L. Bona, V. Dougalis, An initial-and boundary-value problem for a model equation for propagation of long waves, in J. Math. Anal. with Appls. 75 (1980) 503 - 522.
- A. Durán, J. M. Sanz-Serna, The numerical integration of relative equilibrium solutions: Geometric theory, in Nonlinearity 11 (1998) 1547 - 1567.
- C. González, C. Palencia, Stability of Runge-Kutta methods for abstract time-dependent parabolic problems: the Holder case, in Math. Comput. 68 (1999) 73 - 89.
- C. Palencia, The Backward Euler method for abstract parabolic equations with variable domains, in Numer. Math. 82 (1999) 471 - 490.
- C. González, C. Palencia, Stability of time-stepping methods for abstract time-dependent problems in Banach spaces, in SIAM J. Numer. Anal. 35 (1998) 973 - 989.
- C. Palencia, Maximum-norm Analysis of Galerkin-rational methods for parabolic problems, in SIAM J. Numer. Anal. 33 (1996) 1654 - 1688.
- I. Alonso-Mallo, C. Palencia, On certain convolution operators arising in the study of abstract initial boundary value problems, in Proc. Royal Soc. Edinburg. 126A (1996) 515 - 530.
- C. Palencia, Stability of rational multistep approximations of holomorphic semigroups, in Math. Comput. 64 (1995) 591 -599.
- C. Palencia, I. Alonso-Mallo, Abstract Initial Value Problems, in Proc. Royal Soc. Edinburgh. (1994) 879 -908.
- C. Palencia, On the stability of variable step-size approximations of holomorphic semigroups, in Math. Comput. 62 (1994) 93 - 103.
- C. Palencia, A stability result for sectorial operators in Banach spaces, in SIAM J. Numer. Anal. 30 (1993) 1373 -1384.
- C. Palencia, B. García-Archilla, Stability of multistep methods for sectorial operators in Banach spaces, in Appl. Numer. Math. 12 (1993) 503 - 520.
- E. Cuesta, C. Palencia, Un método numérico de segundo orden para ecuaciones integro-diferenciales con núcleo singular, in Resúmenes XVI CEDYA / VI CMA, (1999) 1021 - 1028.